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Simplifying 0.04(y + 10) + -0.60(y + 2) = 2 Reorder the terms: 0.04(10 + y) + -0.60(y + 2) = 2 (10 * 0.04 + y * 0.04) + -0.60(y + 2) = 2 (0.4 + 0.04y) + -0.60(y + 2) = 2 Reorder the terms: 0.4 + 0.04y + -0.60(2 + y) = 2 0.4 + 0.04y + (2 * -0.60 + y * -0.60) = 2 0.4 + 0.04y + (-1.2 + -0.60y) = 2 Reorder the terms: 0.4 + -1.2 + 0.04y + -0.60y = 2 Combine like terms: 0.4 + -1.2 = -0.8 -0.8 + 0.04y + -0.60y = 2 Combine like terms: 0.04y + -0.60y = -0.56y -0.8 + -0.56y = 2 Solving -0.8 + -0.56y = 2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.8' to each side of the equation. -0.8 + 0.8 + -0.56y = 2 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -0.56y = 2 + 0.8 -0.56y = 2 + 0.8 Combine like terms: 2 + 0.8 = 2.8 -0.56y = 2.8 Divide each side by '-0.56'. y = -5 Simplifying y = -5
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